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Finding the Fourth Proportional to 7,655.12, 11,471.98 and 4,137.54

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Solution

The fourth proportional to 7,655.12, 11,471.98 and 4,137.54 is: 6,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.12 : 11,471.98 = 4,137.54 : x
  2. Step 2: Convert to fraction form
    7,655.12/11,471.98 = 4,137.54/x
  3. Step 3: Cross multiply
    7,655.12x = 11,471.98 × 4,137.54
  4. Step 4: Simplify right side
    7,655.12x = 47,465,698.08
  5. Step 5: Solve for x
    x = 47,465,698.08/7,655.12
  6. Step 6: Final answer
    x = 6,200.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.